Parameters governing the performance of electrical mobility spectrometers for measuring sub-3 nm particles

Abstract Measuring aerosol size distributions accurately down to ~1 nm is a key to nucleation studies, and it requires developments and improvements in instruments such as electrical mobility spectrometersin use today. The key factors characterizing the performance of an electrical mobility spectrometerfor sub-3 nm particles are discussed in this study. A parameter named as Π is proposed as a figure of merit for the performance of an electrical mobility spectrometerin the sub-3 nm size range instead of the overall detection efficiency. Π includes the overall detection efficiency, the measurement time in each size bin, the aerosol flow rate passing through the detector, and the aerosol-to-sheath flow ratio of the differential mobility analyzer. The particle raw count number recorded by the detector can be estimated using Π at a given aerosol size distribution function, d N /dlog d p . The limit of detection for the spectrometerand the statistical uncertainty of the measured aerosol size distribution can also be readily estimated using Π . In addition to Π , the size resolution of an electrical mobilityanalyzer is another factor characterizing the systematic errors originated from particle sizing. Four existing electrical mobility spectrometersdesigned for measuring sub-3 nm aerosol size distributions, including three scanning/differential mobility particle spectrometersand one differential mobility analyzertrain, are examined. Their optimal performance is evaluated using Π and the size resolution. For example, the Π value and the size resolution of a diethylene-glycoldifferential mobility particle spectrometerfor 1.5 nm particles are 8.0 × 10 −4 cm 3 and 5.7, respectively. The corresponding relative uncertainty of the measured size distribution is approximately 9.6% during an atmospheric new particle formation event with a d N /dlog d p of 5 × 10 5 cm −3 . Assuming an adjustable sheath flow rate of the differential mobility analyzer, the optimal size resolution is approximately 5–9 when measuring atmospheric new particle formation events.